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DM
2008
13 years 11 months ago
2008
In this paper, we investigate cyclic sequences which contain as elements all k-subsets of {0, 1, . . . , n-1} exactly once such that the unions of any two consecutive k-subsets of...
DM
2008
13 years 11 months ago
2008
For a simple graph G let NG(u) be the (open) neighborhood of vertex u V (G). Then G is neighborhood anti-Sperner (NAS) if for every u there is a v V (G)\{u} with NG(u) NG(v). A...
DM
2008
13 years 11 months ago
2008
For graphs G and H, let G H denote their Cartesian sum. This paper investigates the chromatic number and the circular chromatic number for GH. It is proved that (G H) max{ c(G)...
DM
2008
13 years 11 months ago
2008
Motivated from an application to DNA library screening, Balding and Torney [1] and Colbourn [4] studied the following group testing for consecutive positives. Suppose Vn = {v1 v2 ...
DM
2008
13 years 11 months ago
2008
A nonincreasing sequence of nonnegative integers = (d1, d2, ..., dn) is graphic if there is a (simple) graph G of order n having degree sequence . In this case, G is said to reali...